After studying the topic a student is to

understand: 1. To describe mechanical motion of a body means to determine its position in space in any moment of time; 2. Character of a body motion is determined by the equation of motion; 3. Kinematics characteristics such as distance, displacement, velocity and acceleration are used at description of a material point motion; 4. The form of a motion equation and kinematics characteristics are determined by choice of reference frame; 5. Having known a motion equation it is possible to determine all kinematics characteristics of a motion; 6. Any difficult motion of a perfectly rigid body can be resolved on components: three translational motions along coordinate axis and three rotational motions about coordinate axis; 7. To describe translational motion of a perfectly rigid body is enough to set an equation of motion of any its point. Then all kinematics characteristics used for description of material point motion describe translational motion of a perfectly rigid body; 8. Having considered rotational motion of a material point it is convenient to use angular kinematics characteristics such as angular distance, angular displacement, angular velocity and angular acceleration; 9. To describe rotational motion of a perfectly rigid body it is enough to set equation of motion of any its point in angular characteristics. That is why all angular kinematics characteristics used for description of motion of material point describe rotational motion of perfectly rigid body.		know: Definitions of notions: material point; frame of reference; position-vector; equation of motion; trajectory; equation of trajectory; distance; displacement; speed and velocity; acceleration.
Formulas: is velocity; is acceleration; is total acceleration; is tangential acceleration; is normal acceleration; is angular velocity; is angular acceleration; is interconnection of linear and angular displacements; is interconnection of linear and angular velocities; is interconnection of tangential and normal accelerations; is interconnection of normal accelerations and angular velocity;
get skills:
1. To determine all kinematics characteristics of motion knowing equation of motion; 2. To determine equation of trajectory knowing equation of motion; 3. To resolve into components all vector quantities; 4. To determine modulus and direction of vector motion characteristics if projections onto coordinate axis are known; 5. To determine linear kinematics characteristics if angular kinematics characteristics are given; 6. To determine linear kinematics characteristics directions if direction of angular velocity vector or angular acceleration vector are known; 7. To determine angular kinematics characteristics if linear kinematics characteristics are given; 8. To determine angular kinematics characteristics directions if direction of a linear velocity vector or a linear acceleration vector are known.

DYNAMICS

The description of motion without regarding the causes of motions will never enable us to satisfy the desire to go beyond the mere description of what occurs. Now we shall examine the causes of motions or of changes in motion. This study is called dynamics (after the Greek word dynamis, meaning 'power').

Дата добавления: 2015-11-16